100112565 has 64 divisors (see below), whose sum is σ = 191126016. Its totient is φ = 43794432.

The previous prime is 100112561. The next prime is 100112581. The reversal of 100112565 is 565211001.

It is not a de Polignac number, because 100112565 - 2² = 100112561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283429 + ... + 283781.

It is an arithmetic number, because the mean of its divisors is an integer number (2986344).

Almost surely, 2^100112565 is an apocalyptic number.

100112565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100112565 is a deficient number, since it is larger than the sum of its proper divisors (91013451).

100112565 is a wasteful number, since it uses less digits than its factorization.

100112565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 100112565 is about 10005.6266670309. The cubic root of 100112565 is about 464.3329782033.

Adding to 100112565 its reverse (565211001), we get a palindrome (665323566).

The spelling of 100112565 in words is "one hundred million, one hundred twelve thousand, five hundred sixty-five".